Inverse Trigonometric Functions Concepts

The video tutorial covers inverse trigonometric functions, including sine, cosine, and tangent. It explains their notations, how to graph them, and the process of finding their inverses by switching x and y coordinates. The tutorial also discusses the domains and ranges of these functions, highlighting the reflection over the y=x line. The video concludes with a summary of the domains and ranges for each inverse function.

What is another way to write the inverse sine function?

• arc tangent

• arc cotangent

• arc cosine

• arc sine

What is the range of the inverse sine function?

• -1 to 1

• -π/2 to π/2

• 0 to π

• 0 to 2π

How do you find the inverse of a sine function on a graph?

• Reflect over the y-axis

• Switch x and y coordinates

• Rotate 90 degrees

• Translate vertically

What is the domain of the inverse cosine function?

• -π/2 to π/2

• All real numbers

• 0 to π

• -1 to 1

How is the inverse cosine function graphically represented?

• By scaling vertically

• By translating horizontally

• By rotating 180 degrees

• By reflecting over the y=x line

What is unique about the tangent function compared to sine and cosine?

• It does not oscillate

• It has a limited range

• It is not periodic

• It has horizontal asymptotes

What is the range of the inverse tangent function?

• -π/2 to π/2

• All real numbers

• -1 to 1

• 0 to π

Which inverse trigonometric function has a domain of all real numbers?

• Inverse cotangent

• Inverse tangent

• Inverse cosine

• Inverse sine

What is the domain of the inverse sine and cosine functions?

• -π/2 to π/2

• -1 to 1

• 0 to π

• All real numbers

Which of the following is true about the range of the inverse cosine function?

• It is all real numbers

• It is from -π/2 to π/2

• It is from 0 to π

• It is from -1 to 1